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Finding the Fourth Proportional to 5,648.31, 8,471.01 and 2,526.57

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Solution

The fourth proportional to 5,648.31, 8,471.01 and 2,526.57 is: 3,789.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.31 : 8,471.01 = 2,526.57 : x
  2. Step 2: Convert to fraction form
    5,648.31/8,471.01 = 2,526.57/x
  3. Step 3: Cross multiply
    5,648.31x = 8,471.01 × 2,526.57
  4. Step 4: Simplify right side
    5,648.31x = 21,402,599.74
  5. Step 5: Solve for x
    x = 21,402,599.74/5,648.31
  6. Step 6: Final answer
    x = 3,789.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.